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110201472 = 27361181
BaseRepresentation
bin1101001000110…
…00101010000000
321200100211000000
412210120222000
5211202421342
614534000000
72505461043
oct644305200
9250324000
10110201472
1157229aa7
1230aa6000
1319aa5c94
14108c8c5a
159a1c44c
hex6918a80

110201472 has 112 divisors (see below), whose sum is σ = 329441130. Its totient is φ = 36702720.

The previous prime is 110201467. The next prime is 110201489. The reversal of 110201472 is 274102011.

It can be written as a sum of positive squares in only one way, i.e., 70963776 + 39237696 = 8424^2 + 6264^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 92722 + ... + 93902.

Almost surely, 2110201472 is an apocalyptic number.

110201472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110201472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164720565).

110201472 is an abundant number, since it is smaller than the sum of its proper divisors (219239658).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

110201472 is an frugal number, since it uses more digits than its factorization.

110201472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1213 (or 1186 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 110201472 is about 10497.6888885126. The cubic root of 110201472 is about 479.4343336401.

Adding to 110201472 its reverse (274102011), we get a palindrome (384303483).

The spelling of 110201472 in words is "one hundred ten million, two hundred one thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 288 324 384 432 486 576 648 729 864 972 1152 1181 1296 1458 1728 1944 2362 2592 2916 3456 3543 3888 4724 5184 5832 7086 7776 9448 10368 10629 11664 14172 15552 18896 21258 23328 28344 31104 31887 37792 42516 46656 56688 63774 75584 85032 93312 95661 113376 127548 151168 170064 191322 226752 255096 286983 340128 382644 453504 510192 573966 680256 765288 860949 1020384 1147932 1360512 1530576 1721898 2040768 2295864 3061152 3443796 4081536 4591728 6122304 6887592 9183456 12244608 13775184 18366912 27550368 36733824 55100736 110201472